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Simplifying 0.6x + 18 + x = 2x + 23 + -0.5x Reorder the terms: 18 + 0.6x + x = 2x + 23 + -0.5x Combine like terms: 0.6x + x = 1.6x 18 + 1.6x = 2x + 23 + -0.5x Reorder the terms: 18 + 1.6x = 23 + 2x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 18 + 1.6x = 23 + 1.5x Solving 18 + 1.6x = 23 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 18 + 1.6x + -1.5x = 23 + 1.5x + -1.5x Combine like terms: 1.6x + -1.5x = 0.1x 18 + 0.1x = 23 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 18 + 0.1x = 23 + 0.0 18 + 0.1x = 23 Add '-18' to each side of the equation. 18 + -18 + 0.1x = 23 + -18 Combine like terms: 18 + -18 = 0 0 + 0.1x = 23 + -18 0.1x = 23 + -18 Combine like terms: 23 + -18 = 5 0.1x = 5 Divide each side by '0.1'. x = 50 Simplifying x = 50
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